Gasser, Jürg ; Hoferichter, Martin ; Leutwyler, Heinrich ; Rusetsky, Akaki (2022):
Cottingham formula and nucleon polarisabilities. (Publisher's Version)
In: The European Physical Journal C, 75 (8), Springer, ISSN 1434-6044, e-ISSN 1434-6052,
DOI: 10.26083/tuprints-00012824,
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Item Type: | Article |
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Origin: | Secondary publication |
Status: | Publisher's Version |
Title: | Cottingham formula and nucleon polarisabilities |
Language: | English |
Abstract: | The difference between the electromagnetic selfenergies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections – provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment. |
Journal or Publication Title: | The European Physical Journal C |
Volume of the journal: | 75 |
Issue Number: | 8 |
Publisher: | Springer |
Collation: | 28 Seiten |
Classification DDC: | 500 Naturwissenschaften und Mathematik > 530 Physik |
Divisions: | 05 Department of Physics > Institute of Nuclear Physics |
Date Deposited: | 02 Mar 2022 09:41 |
Last Modified: | 10 Mar 2022 09:40 |
DOI: | 10.26083/tuprints-00012824 |
Corresponding Links: | |
URN: | urn:nbn:de:tuda-tuprints-128244 |
Additional Information: | Link zum Erratum: urn:nbn:de:tuda-tuprints-208000 |
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/12824 |
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